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Finding the Third Proportional to 117,186.75 and 162,749.25

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Solution

The third proportional to 117,186.75 and 162,749.25 is: 226,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,186.75 : 162,749.25 = 162,749.25 : x
  2. Step 2: Convert to fraction form
    117,186.75/162,749.25 = 162,749.25/x
  3. Step 3: Cross multiply
    117,186.75x = 162,749.25 × 162,749.25
  4. Step 4: Simplify right side
    117,186.75x = 26,487,318,375.56
  5. Step 5: Solve for x
    x = 26,487,318,375.56/117,186.75
  6. Step 6: Final answer
    x = 226,026.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.